A random sample from a company’s very extensive files show that orders for a certain piece...
A random sample from a company’s very extensive files show that
orders for a certain piece of machinery were filled, respectively
in 12, 10, 17, 14, 13, 18, 11 and 9 days. Use the level of
significance 0.05 to test the claim that on the average such orders
are filled in 9.5 days against the alternative hypothesis
µ>9.5.
Homework Answers
H0: 
= 9.5
Ha:
> 9.5
From Sample data,
= 13 . S = 3.2071
Test Statistic :-
t = ( X̅ - µ ) / (S / √(n) )
t = ( 13 - 9.5 ) / ( 3.2071 / √(8) )
t = 3.09
Test Criteria :-
Reject null hypothesis if t > t(α, n-1)
Critical value t(α, n-1) = t(0.05 , 8-1) = 1.895
t > t(α, n-1) = 3.09 > 1.895
Result :- Reject null hypothesis
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